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Finding the Fourth Proportional to 328.80, 493.37 and 218.83

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Solution

The fourth proportional to 328.80, 493.37 and 218.83 is: 328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.80 : 493.37 = 218.83 : x
  2. Step 2: Convert to fraction form
    328.80/493.37 = 218.83/x
  3. Step 3: Cross multiply
    328.80x = 493.37 × 218.83
  4. Step 4: Simplify right side
    328.80x = 107,963.06
  5. Step 5: Solve for x
    x = 107,963.06/328.80
  6. Step 6: Final answer
    x = 328.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.